The determinantal regions of complex sign pattern matrices and ray pattern matrices

DOI10.1016/j.laa.2004.08.023zbMath1066.15004OpenAlexW2086785547WikidataQ112882145 ScholiaQ112882145MaRDI QIDQ1765916

Hai-Ying Shan, Jia-yu Shao

Publication date: 23 February 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.08.023

zbMATH Keywords

determinantscomplex ray patterncomplex sign patterndeterminantal regions

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (7)

A forbidden structure of ray nonsingular matrices ⋮ Ray nonsingularity of cycle chain matrices ⋮ On the boundaries of the determinantal regions of ray pattern matrices ⋮ The inverse problems of the determinantal regions of ray pattern and complex sign pattern matrices ⋮ Characterization of ray pattern matrix whose determinantal region has two components after deleting the origin ⋮ The decomposability of the matrix with two determinantal regional components ⋮ Characterizations and applications of the isolated sets of permutations

Cites Work

• Ray patterns of matrices and nonsingularity
• Extremal properties of ray-nonsingular matrices
• From real to complex sign pattern matrices
• Qualitative Economics and the Scope of the Correspondence Principle
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